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Finding the Fourth Proportional to 279,855.60, 419,845.76 and 102,358.68

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Solution

The fourth proportional to 279,855.60, 419,845.76 and 102,358.68 is: 153,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,855.60 : 419,845.76 = 102,358.68 : x
  2. Step 2: Convert to fraction form
    279,855.60/419,845.76 = 102,358.68/x
  3. Step 3: Cross multiply
    279,855.60x = 419,845.76 × 102,358.68
  4. Step 4: Simplify right side
    279,855.60x = 42,974,857,797.20
  5. Step 5: Solve for x
    x = 42,974,857,797.20/279,855.60
  6. Step 6: Final answer
    x = 153,560.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.